45422252400 has 480 divisors, whose sum is σ = 177153661440. Its totient is φ = 9711452160.

The previous prime is 45422252387. The next prime is 45422252411. The reversal of 45422252400 is 425222454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25560312 + ... + 25562088.

It is an arithmetic number, because the mean of its divisors is an integer number (369070128).

Almost surely, 2^45422252400 is an apocalyptic number.

45422252400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45422252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88576830720).

45422252400 is an abundant number, since it is smaller than the sum of its proper divisors (131731409040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45422252400 is a wasteful number, since it uses less digits than its factorization.

45422252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 45422252400 its reverse (425222454), we get a palindrome (45847474854).

The spelling of 45422252400 in words is "forty-five billion, four hundred twenty-two million, two hundred fifty-two thousand, four hundred".